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06-01-2021
Mathematics

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What's the sum of an infinite geometric series if the first term is 156 and the common ratio is 2∕3?

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AFOKE88 AFOKE88

06-01-2021

Answer:

468

Step-by-step explanation:

Formula for infinite sum of geometric series is;

S_∞ = a1/(1 - r)

Where;

a1 is first term

r is common ratio

We are given;

a1 = 156

r = ⅔

Thus;

S_∞ = 156/(1 - ⅔)

S_∞ = 156/(⅓)

S_∞ = 468

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